play -> playing
b) to getting -> getting 
c) loving -> loves/ my -> her
d) go -> going/ hang -> hanging
e) study -> studying

My friends and I are really keen on play computer games.  play--->play (keen on + V_ing)
I really like to getting involved in team sports .It is good for building up co-operative skills.
like to getting ---> like getting
Minh expecially loving to spend her free time sleeping and being lazy in my room.
loving ---> loves      my --->her
She enjoys go shopping on weekend and hang out with friends. go ---> going  ; hang ---> hanging(enjoy + V_ing)
I am very interested in study English.  study ---> studying ( be interested in + V_ing)

a) play -> playing
b) to getting -> getting/get 
c) loving -> loves/ my -> her
d) go -> going -> hanging
e) study -> studying

a) My friends and I are really keen on play computer games.  
play  =>  play
b) I really like to getting involved in team sports .It is good for building up co-operative skills.
 to getting => like getting
c) Minh expecially loving to spend her free time sleeping and being lazy in my room.
loving => loves  
my => her
d) She enjoys go shopping on weekend and hang out with friends.
go => going
hang => hanging
e) I am very interested in study English.  
study => studying